Modular invariants for some finite modular pseudo-reflection groups.

In this paper, we determine the modular invariants for some pseudo-reflection subgroups of the finite general linear group GL n (q) acting on the tensor product of the symmetric algebra S • (V) and the exterior algebra ∧ • (V) of the natural GL n (q) -module V. We are particularly interested in the case when the pseudo-reflection groups are subgroups of the parabolic subgroup of GL n (q) which are generalization of Weyl groups of Cartan type Lie algebra. [ABSTRACT FROM AUTHOR]